A mathematical analysis of a fish school model

DOI10.1016/S0022-0396(02)00097-9zbMath1028.34053MaRDI QIDQ1869770

Ovide Arino, M. Adioui, J. P. Treuil, William V. Smith

Publication date: 28 April 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilitydiffusionbifurcationpopulation dynamicsmild solutionnonlinear evolution equationsemigroup approachschoolinganimal orientation

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Nonlinear evolution equations (47J35) Animal behavior (92D50)

Related Items (3)

Boundary-value problem for density-velocity model of collective motion of organisms ⋮ Non-linear advection-diffusion equations approximate swarming but not schooling populations ⋮ A nonlocal model of phytoplankton aggregation

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• On bifurcation from infinity
• Bifurcation from simple eigenvalues
• One-Parameter Semigroups for Linear Evolution Equations
• Unnamed Item
• Unnamed Item

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